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Finding the Fourth Proportional to 295.82, 409.04 and 249.76

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Solution

The fourth proportional to 295.82, 409.04 and 249.76 is: 345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.82 : 409.04 = 249.76 : x
  2. Step 2: Convert to fraction form
    295.82/409.04 = 249.76/x
  3. Step 3: Cross multiply
    295.82x = 409.04 × 249.76
  4. Step 4: Simplify right side
    295.82x = 102,161.83
  5. Step 5: Solve for x
    x = 102,161.83/295.82
  6. Step 6: Final answer
    x = 345.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.